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Finding the Fourth Proportional to 284.40, 394.12 and 278.93

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Solution

The fourth proportional to 284.40, 394.12 and 278.93 is: 386.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.40 : 394.12 = 278.93 : x
  2. Step 2: Convert to fraction form
    284.40/394.12 = 278.93/x
  3. Step 3: Cross multiply
    284.40x = 394.12 × 278.93
  4. Step 4: Simplify right side
    284.40x = 109,929.22
  5. Step 5: Solve for x
    x = 109,929.22/284.40
  6. Step 6: Final answer
    x = 386.53

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.